International comparisons of Poverty Intensity: Index Decomposition and Bootstrap Inference

This paper proposes an alternative formulation for the Sen-Shorrocks-Thon (SST) index of poverty intensity that is appropriate for survey data with sampling weights. It also decomposes the SST index into the poverty rate, the average poverty gap ratio among the poor, and the overall Gini index of poverty gap ratios. To account for sampling variation in estimates of poverty intensity, this paper uses the bootstrap method to compute confidence intervals and presents international comparisons using Luxembourg Income Study (LIS) data from the 1970s to the 1990s. Cross-sectional and longitudinal analyses indicate that the percentage change in poverty intensity can be approximated by the sum of percentage changes in the poverty rate and average poverty gap ratio, since changes in the overall Gini index of poverty gap ratios are negligible. In the early 1970s poverty intensity in Canada and the United States was almost indistinguishable, but in the 1970s Canadian poverty intensity decreased. Large increases in poverty intensity occurred in the 1980s in the United States, the United Kingdom, and Sweden.

[1]  T. Besley Means Testing versus Universal Provision in Poverty Alleviation Programmes , 1990 .

[2]  A. Atkinson ON THE MEASUREMENT OF POVERTY , 1987 .

[3]  James E. Foster,et al.  SUBGROUP CONSISTENT POVERTY INDICES , 1991 .

[4]  Stephen P. Jenkins,et al.  Equivalence scale relativities and the extent of inequality and poverty , 1992 .

[5]  S. Stigler Linear Functions of Order Statistics , 1969 .

[6]  David Donaldson,et al.  Ethical Indices for the Measurement of Poverty , 1980 .

[7]  Ian Preston,et al.  Sampling distributions of relative poverty statistics , 1995 .

[8]  Noriyuki Takayama,et al.  Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered , 1979 .

[9]  B. Cushing,et al.  Statistical Tests of Changes in U.S. Poverty, 1975 to 1990* , 1995 .

[10]  B. Zheng Aggregate Poverty Measures , 2002 .

[11]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[12]  Lars Osberg,et al.  Poverty Intensity: How Well Do Canadian Provinces Compare? , 1999 .

[13]  A. Sen,et al.  Poverty: An Ordinal Approach to Measurement , 1976 .

[14]  S. Phipps,et al.  The Challenge of Child Poverty: Which Policies Might Help? , 1994 .

[15]  R. Rose,et al.  IS MONEY THE MEASURE OF WELFARE IN RUSSIA , 1996 .

[16]  J. Weymark,et al.  Properties of Fixed-Population Poverty Indices , 1986 .

[17]  L. Osberg,et al.  SEARCHING FOR A WILL O'THE WISP: AN EMPIRICAL STUDY OF THE NAIRU IN CANADA , 1992 .

[18]  Dominique Thon,et al.  On Measuring Poverty , 1979 .

[19]  David Card,et al.  Small Differences That Matter: Labor Markets and Income Maintenance in Canada and the United States , 1993 .

[20]  L. Rainwater,et al.  Doing Poorly: The Real Income of American Children in a Comparative Perspective. Luxembourg Income Study. Working Paper No. 127. , 1995 .

[21]  Robert Tibshirani,et al.  Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy , 1986 .

[22]  N. Kakwani,et al.  Income inequality and poverty , 1980 .

[23]  Kuan Xu Statistical Inference for the Sen-Shorrocks-Thon Index of Poverty Intensity , 1998 .

[24]  J. Merz Relative Inequality and Poverty in Germany and the United States Using Alternative Equivalence Scales , 1994 .

[25]  A. Shorrocks,et al.  Revisiting the Sen Poverty Index , 1995 .

[26]  L. Osberg,et al.  A distribution-free test for deprivation dominance , 1998 .

[27]  S. Oster,et al.  The Definition and Measurement of Poverty , 2019 .

[28]  M. Wolfson Stasis amid Change--Income Inequality in Canada, 1965-1983 , 1986 .

[29]  C. Seidl Poverty Measurement: A Survey , 1988 .

[30]  Stephen M. Stigler,et al.  Linear Functions of Order Statistics with Smooth Weight Functions , 1974 .

[31]  I. Rongve Statistical Inference for Poverty Indices with Fixed Poverty Lines , 1997 .

[32]  L. Osberg Economic inequality in the United States , 1981 .

[33]  P. Hall The Bootstrap and Edgeworth Expansion , 1992 .

[34]  Measuring the Intensity of Poverty Among Subpopulations Applications to the United States , 1991 .

[35]  T. Garner,et al.  Are Equivalence Scales the Same for the United States and Canada , 1994 .

[36]  Timothy M. Smeeding,et al.  EQUIVALENCE SCALES, WELL‐BEING, INEQUALITY, AND POVERTY: SENSITIVITY ESTIMATES ACROSS TEN COUNTRIES USING THE LUXEMBOURG INCOME STUDY (LIS) DATABASE , 1988 .

[37]  M. Blackburn International Comparisons of Poverty , 1994 .

[38]  G. Duncan,et al.  The Perception of Poverty. , 1987 .

[39]  B. Efron The jackknife, the bootstrap, and other resampling plans , 1987 .